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Find the derivative of \( y = \ln(x^2 + 1) \) at \( x = 1 \).
Use chain rule: \( rac{dy}{dx} = rac{1}{x^2 + 1} \cdot 2x = rac{2x}{x^2 + 1} \).
Evaluate at \( x = 1 \): \( rac{2(1)}{1^2 + 1} = rac{2}{2} = 1 \).

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